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Finding the Fourth Proportional to 54,838.77, 75,678.89 and 33,629.73

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Solution

The fourth proportional to 54,838.77, 75,678.89 and 33,629.73 is: 46,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.77 : 75,678.89 = 33,629.73 : x
  2. Step 2: Convert to fraction form
    54,838.77/75,678.89 = 33,629.73/x
  3. Step 3: Cross multiply
    54,838.77x = 75,678.89 × 33,629.73
  4. Step 4: Simplify right side
    54,838.77x = 2,545,060,469.25
  5. Step 5: Solve for x
    x = 2,545,060,469.25/54,838.77
  6. Step 6: Final answer
    x = 46,409.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.